The content of the lectures will be the syllabus. The lectures will be based on the following notes, but there will most likely be several differences. The lecture notes (in norwegian) for the last year are available here.

Here are some suggestions for textbooks on homological algebra if you want some alternative resources:

• J. Rotman: An introduction to homological algebra (both the first and second version)
• C. Weibel: An introduction to homological algebra
• S.I.Gelfand & YU.I.Manin: Methods of homological algebra